Mercurial > octave-nkf
annotate scripts/statistics/distributions/hygecdf.m @ 19867:9fc020886ae9
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author | Rik <rik@octave.org> |
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date | Mon, 23 Feb 2015 14:54:39 -0800 |
parents | 4197fc428c7d |
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1 ## Copyright (C) 2012 Rik Wehbring |
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2 ## Copyright (C) 1997-2015 Kurt Hornik |
5410 | 3 ## |
4 ## This file is part of Octave. | |
5 ## | |
6 ## Octave is free software; you can redistribute it and/or modify it | |
7 ## under the terms of the GNU General Public License as published by | |
7016 | 8 ## the Free Software Foundation; either version 3 of the License, or (at |
9 ## your option) any later version. | |
5410 | 10 ## |
11 ## Octave is distributed in the hope that it will be useful, but | |
12 ## WITHOUT ANY WARRANTY; without even the implied warranty of | |
13 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU | |
14 ## General Public License for more details. | |
15 ## | |
16 ## You should have received a copy of the GNU General Public License | |
7016 | 17 ## along with Octave; see the file COPYING. If not, see |
18 ## <http://www.gnu.org/licenses/>. | |
5410 | 19 |
20 ## -*- texinfo -*- | |
7002 | 21 ## @deftypefn {Function File} {} hygecdf (@var{x}, @var{t}, @var{m}, @var{n}) |
5410 | 22 ## Compute the cumulative distribution function (CDF) at @var{x} of the |
7002 | 23 ## hypergeometric distribution with parameters @var{t}, @var{m}, and |
5410 | 24 ## @var{n}. This is the probability of obtaining not more than @var{x} |
25 ## marked items when randomly drawing a sample of size @var{n} without | |
26 ## replacement from a population of total size @var{t} containing | |
27 ## @var{m} marked items. | |
28 ## | |
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29 ## The parameters @var{t}, @var{m}, and @var{n} must be positive integers |
5410 | 30 ## with @var{m} and @var{n} not greater than @var{t}. |
31 ## @end deftypefn | |
32 | |
5428 | 33 ## Author: KH <Kurt.Hornik@wu-wien.ac.at> |
5410 | 34 ## Description: CDF of the hypergeometric distribution |
35 | |
7002 | 36 function cdf = hygecdf (x, t, m, n) |
5410 | 37 |
38 if (nargin != 4) | |
6046 | 39 print_usage (); |
5410 | 40 endif |
41 | |
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42 if (! isscalar (t) || ! isscalar (m) || ! isscalar (n)) |
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43 [retval, x, t, m, n] = common_size (x, t, m, n); |
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44 if (retval > 0) |
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45 error ("hygecdf: X, T, M, and N must be of common size or scalars"); |
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46 endif |
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47 endif |
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48 |
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49 if (iscomplex (x) || iscomplex (t) || iscomplex (m) || iscomplex (n)) |
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50 error ("hygecdf: X, T, M, and N must not be complex"); |
5410 | 51 endif |
52 | |
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53 if (isa (x, "single") || isa (t, "single") |
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54 || isa (m, "single") || isa (n, "single")) |
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55 cdf = NaN (size (x), "single"); |
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56 else |
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57 cdf = NaN (size (x)); |
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58 endif |
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59 |
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60 ok = ((t >= 0) & (m >= 0) & (n > 0) & (m <= t) & (n <= t) & |
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61 (t == fix (t)) & (m == fix (m)) & (n == fix (n))); |
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62 |
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63 if (isscalar (t)) |
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64 if (ok) |
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65 cdf = discrete_cdf (x, 0 : n, hygepdf (0 : n, t, m, n)); |
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66 endif |
5410 | 67 else |
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68 for i = find (ok(:)') # Must be row vector arg to for loop |
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69 v = 0 : n(i); |
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70 cdf(i) = discrete_cdf (x(i), v, hygepdf (v, t(i), m(i), n(i))); |
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71 endfor |
5410 | 72 endif |
73 | |
74 endfunction | |
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75 |
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76 |
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77 %!shared x,y |
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78 %! x = [-1 0 1 2 3]; |
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79 %! y = [0 1/6 5/6 1 1]; |
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80 %!assert (hygecdf (x, 4*ones (1,5), 2, 2), y, eps) |
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81 %!assert (hygecdf (x, 4, 2*ones (1,5), 2), y, eps) |
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82 %!assert (hygecdf (x, 4, 2, 2*ones (1,5)), y, eps) |
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83 %!assert (hygecdf (x, 4*[1 -1 NaN 1.1 1], 2, 2), [y(1) NaN NaN NaN y(5)], eps) |
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84 %!assert (hygecdf (x, 4, 2*[1 -1 NaN 1.1 1], 2), [y(1) NaN NaN NaN y(5)], eps) |
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85 %!assert (hygecdf (x, 4, 5, 2), [NaN NaN NaN NaN NaN]) |
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86 %!assert (hygecdf (x, 4, 2, 2*[1 -1 NaN 1.1 1]), [y(1) NaN NaN NaN y(5)], eps) |
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87 %!assert (hygecdf (x, 4, 2, 5), [NaN NaN NaN NaN NaN]) |
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88 %!assert (hygecdf ([x(1:2) NaN x(4:5)], 4, 2, 2), [y(1:2) NaN y(4:5)], eps) |
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89 |
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90 ## Test class of input preserved |
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91 %!assert (hygecdf ([x, NaN], 4, 2, 2), [y, NaN], eps) |
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92 %!assert (hygecdf (single ([x, NaN]), 4, 2, 2), single ([y, NaN]), eps ("single")) |
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93 %!assert (hygecdf ([x, NaN], single (4), 2, 2), single ([y, NaN]), eps ("single")) |
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94 %!assert (hygecdf ([x, NaN], 4, single (2), 2), single ([y, NaN]), eps ("single")) |
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95 %!assert (hygecdf ([x, NaN], 4, 2, single (2)), single ([y, NaN]), eps ("single")) |
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96 |
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97 ## Test input validation |
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98 %!error hygecdf () |
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99 %!error hygecdf (1) |
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100 %!error hygecdf (1,2) |
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101 %!error hygecdf (1,2,3) |
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102 %!error hygecdf (1,2,3,4,5) |
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103 %!error hygecdf (ones (2), ones (3), 1, 1) |
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104 %!error hygecdf (1, ones (2), ones (3), 1) |
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105 %!error hygecdf (1, 1, ones (2), ones (3)) |
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106 %!error hygecdf (i, 2, 2, 2) |
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107 %!error hygecdf (2, i, 2, 2) |
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108 %!error hygecdf (2, 2, i, 2) |
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109 %!error hygecdf (2, 2, 2, i) |
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110 |